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Evaluation of an Infinite Series, Revisited

  1. Nov 24, 2006 #1
    Since the forum seemed to chew up my post last time, I thought I'd give it another try...

    I'm looking to evaluate a series of the form [tex]\sum_{n=0}^\infty \frac{1}{(n-f)^2}[/tex] where [tex]f[/tex] is a constant between zero and one.

    I really have no clue where to start on this. I've seen series such as [tex] \sum_{n=0}^\infty \frac{1}{n^2} = \frac{\pi^2}{6} [/tex] solved using a Fourier transform of [tex]x^2[/tex], but I can't see how to adapt this.

    Any ideas or hints would be appreciated.
  2. jcsd
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